SOLUTION: 1) 2x^2-y^2=14 y-2x=-4 use substitution 2) 2x^2-2y^2=56 x^2+y^2=100 Use substitution

Question 857467: 1) 2x^2-y^2=14
y-2x=-4
use substitution
2) 2x^2-2y^2=56
x^2+y^2=100
Use substitution
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1) 2x^2-y^2=14
y-2x=-4 --> y = 2x - 4
sub for y in the 1st eqn
-----------------------
2x^2-2y^2=56 --> x^2 - y^2 = 28 --> x^2 = y^2 + 28
x^2+y^2=100
---
x^2 + y^2 = 100
Sub for x^2
y^2 + 28 + y^2 = 100
2y^2 = 72
y^2 = 36
y = -6, +6
Sub for y to find x in any equation.
You get 4 solutions.

RELATED QUESTIONS
substitution x+3y=2... (answered by Alan3354)

x+y=1 2x-y=2 rules say to use substitution to solve the... (answered by sdmmadam@yahoo.com)

solve by substitution: 2x=2y=2... (answered by jim_thompson5910)

Solve by substitution: 2x+2y=2... (answered by joecbaseball)

y=-1 -2x-2y=-2 solve by substitution (answered by waynest)

substitution method 2x + 2y =2 3x -y =... (answered by Alan3354,josgarithmetic)

solve by substitution method y=2x-5... (answered by Boreal)

Solve by substitution method x-2y=2...... (answered by Alan3354)

Solve by substitution method x-2y=-2...... (answered by Boreal)